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A two-digit number has digits that add up to 9. When the digits are reversed, the number decreases by 27. Find the original number.

Competition practiceNumber System, HCF & LCM
  • A36
  • B63
  • C54
  • D72

Step-by-Step Solution

Let the digits be t and u with t + u = 9. The decrease on reversing is 9(t − u) = 27, so t − u = 3. Solving gives t = 6, u = 3, i.e. 63.
Answer: B) 63

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